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Finding the Fourth Proportional to 130,418.40, 195,704.40 and 47,301.60

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Solution

The fourth proportional to 130,418.40, 195,704.40 and 47,301.60 is: 70,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,418.40 : 195,704.40 = 47,301.60 : x
  2. Step 2: Convert to fraction form
    130,418.40/195,704.40 = 47,301.60/x
  3. Step 3: Cross multiply
    130,418.40x = 195,704.40 × 47,301.60
  4. Step 4: Simplify right side
    130,418.40x = 9,257,131,247.04
  5. Step 5: Solve for x
    x = 9,257,131,247.04/130,418.40
  6. Step 6: Final answer
    x = 70,980.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.